Answer:
see below
Step-by-step explanation:
f(x) = 4x^2 + 8x − 5
To find the x intercepts set y = 0
0 =4x^2 + 8x − 5
Factor
0=(2x-1)(2x+5)
Using the zero product property
2x-1 =0 2x+5 =0
2x=1 2x = -5
x = 1/2 x = -5/2
The x intercepts are ( 1/2 ,0) and ( -5/2,0)
Rewriting in vertex form by completing the square
4 ( x^2 + 2x) -5
4 ( x^2+2x +1) -4*1 -5
4 ( x+1) ^2 -9
Vertex form is
a( x-h) ^2 +k where ( h,k) is the vertex
The vertex is ( -1,-9)
We know it opens upwards since a > 0
Plot the vertex and the x intercepts
The graph is symmetric on based on the vertex
Answer:
A
Step-by-step explanation:
y is -6 = y-6
x=2 so =x+2
slope is -3/4
Answer:
D, I don't know, and 1 + 3
Step-by-step explanation:
D I'm not 100% sure on, 2 I have no clue, and the third is just swapping the signs because you are flipping over the axis. I hope I could help you!
The perimeter of a rectangle is twice the sum of its side lengths.
P=2(L+W), we are told that L=3W and P=176 so
2(3W+W)=176
2(4W)=176
8W=176
W=22 ft, since L=3W
L=66 ft
So the yard is 22 feet wide and 66 feet long.
Answer:
<em>V = π(2.5)²(7)</em>
Step-by-step explanation:
<u><em>Given:</em></u>
<em>A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height of 7 inches. </em>
<u><em>To Find:</em></u>
<em>which equation could be used to determine the volume, in cubic inches, of the vase?</em>
<u><em>Solve:</em></u>
<em>Formula for cylinder volume: Volume = πr²h</em>
<em>Where,</em>
<em>h represents the height of the cylinder</em>
<em>r represents the radius of the cylinder.</em>
<em>π is a constant whose value is 3.14</em>
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<em>Knowing that:</em>
<em>Diameter = 5 in</em>
<em>Height = 7 in</em>
<em>Radius = 2.5 {Radius is half of diameter so 5/2 = 2.5}</em>
<em>Thus, a equation could be use is:</em>
<em>V = π(2.5)²(7)</em>
<em />
<u><em>Kavinsky</em></u>
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